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Finding the Third Proportional to 1.62 and 2.45

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Solution

The third proportional to 1.62 and 2.45 is: 3.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.62 : 2.45 = 2.45 : x
  2. Step 2: Convert to fraction form
    1.62/2.45 = 2.45/x
  3. Step 3: Cross multiply
    1.62x = 2.45 × 2.45
  4. Step 4: Simplify right side
    1.62x = 6.02
  5. Step 5: Solve for x
    x = 6.02/1.62
  6. Step 6: Final answer
    x = 3.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.